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Finding the Fourth Proportional to 9,422.96, 13,003.08 and 5,885.96

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Solution

The fourth proportional to 9,422.96, 13,003.08 and 5,885.96 is: 8,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.96 : 13,003.08 = 5,885.96 : x
  2. Step 2: Convert to fraction form
    9,422.96/13,003.08 = 5,885.96/x
  3. Step 3: Cross multiply
    9,422.96x = 13,003.08 × 5,885.96
  4. Step 4: Simplify right side
    9,422.96x = 76,535,608.76
  5. Step 5: Solve for x
    x = 76,535,608.76/9,422.96
  6. Step 6: Final answer
    x = 8,122.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.